424994359680 has 1536 divisors, whose sum is σ = 1762060608000. Its totient is φ = 96566722560.

The previous prime is 424994359679. The next prime is 424994359721. The reversal of 424994359680 is 86953499424.

424994359680 is a `hidden beast` number, since 4 + 24 + 99 + 435 + 96 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2607327279 + ... + 2607327441.

It is an arithmetic number, because the mean of its divisors is an integer number (1147174875).

Almost surely, 2^424994359680 is an apocalyptic number.

424994359680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424994359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881030304000).

424994359680 is an abundant number, since it is smaller than the sum of its proper divisors (1337066248320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424994359680 is a wasteful number, since it uses less digits than its factorization.

424994359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 424994359680 in words is "four hundred twenty-four billion, nine hundred ninety-four million, three hundred fifty-nine thousand, six hundred eighty".